Non-Fiction Books:

Algebraic Methods in Unstable Homotopy Theory

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Algebraic Methods in Unstable Homotopy Theory by Joseph Neisendorfer
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Description

The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy groups. The author introduces various aspects of unstable homotopy theory, including: homotopy groups with coefficients; localization and completion; the Hopf invariants of Hilton, James, and Toda; Samelson products; homotopy Bockstein spectral sequences; graded Lie algebras; differential homological algebra; and the exponent theorems concerning the homotopy groups of spheres and Moore spaces. This book is suitable for a course in unstable homotopy theory, following a first course in homotopy theory. It is also a valuable reference for both experts and graduate students wishing to enter the field.

Author Biography

Joseph Neisendorfer is Professor Emeritus in the Department of Mathematics at the University of Rochester, New York.
Release date Australia
February 18th, 2010
Country of Publication
United Kingdom
Illustrations
275 exercises
Imprint
Cambridge University Press
Pages
574
Dimensions
152x228x35
ISBN-13
9780521760379
Product ID
3648309

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